Zhu, Yihang2019-05-202017-052017-05-132017http://nrs.harvard.edu/urn-3:HUL.InstRepos:40046564The orthogonal Shimura varieties are associated to special orthogonal groups over Q of signature (n, 2) at infinity. In this work we prove a version of Morel’s formula for the Frobenius-Hecke traces on the intersection cohomology of their Baily-Borel compactifications. We then stabilize the formula, in terms of Kottwitz’s simplified expression for the geometric side of the Arthur-Selberg trace formula for test functions that are stable cuspidal at infinity.application/pdfenMathematicsThesis or Dissertation2019-05-20